Q1.
a) Simple moving average. (1 Point)
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b) A 5-period moving average. (1 Point)
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c) An 8-period weighted moving average using 0.05, 0.05, 0.05, 0.05, 0.20, 0.20, and 0.35 with the highest weights assigned to the most recent months respectively. (2 Points)
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d) In part (c), if the lowest weights were applied to the most recent months, how would the forecast change? Explain why this is the case. (3 Points)
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Q2. Consider an assembly line with the following 12 tasks. The desired number of outputs is 28 units per day. Balance the assembly line with the assumption that the system works continuously for seven hours each day.
| Task | Task time (minutes) | Preceding task(s) |
|---|---|---|
| A | 12 | – |
| B | 6 | A |
| C | 6 | B |
| D | 2 | B |
| E | 2 | B |
| F | 12 | B |
| G | 7 | C, D |
| H | 5 | G |
| I | 1 | E |
| J | 4 | I, F |
| K | 6 | H, J |
| L | 8 | K |
a) Develop the precedence diagram. (3 Points)
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b) Determine the cycle time (in minutes) for the desired output rate per day. (1 Point)
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c) Determine the minimum number of workstations for the desired output rate per day. (1 Point)
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d) Balance the line using “the longest task time” heuristic rule. (4 Points)
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e) Calculate the percentage idle time for each workstation. (3 Points)
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f) What is the efficiency of the assembly line? (1 Point)
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